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Morita contexts, preradicals and closure operators in modules
A. I. Kashu Vladimir Andrunachievici Institute of Mathematics and Computer Science, Academiei 5 str., Kishinau, Moldova
Abstract:
The preradicals and closure operators in module categories are studied. The concordance is shown between the mappings connecting the classes of preradicals and of closure operators of two module categories $R$-Mod and $S$-Mod in the case of a Morita context $(R,{}_{R}U_{S}, {}_{S}V_{R},S)$, using the functors $Hom_{R}(U,-)$ and $Hom_{S}(V,-)$.
Keywords and phrases:
ring, module, category, preradical, closure operator, Morita context.
Citation:
A. I. Kashu, “Morita contexts, preradicals and closure operators in modules”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 1, 83–98
Linking options:
https://www.mathnet.ru/eng/basm567 https://www.mathnet.ru/eng/basm/y2022/i1/p83
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Abstract page: | 76 | Full-text PDF : | 21 | References: | 25 |
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